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Thursday, April 22, 2010

Every Tree There Is

by Eric Lippert via Fabulous Adventures In Coding on 4/22/2010 2:05:00 PM

Last time we talked about how the number of binary trees with n nodes is C(n), where C(n) is the nth Catalan number. I asked if there were more or fewer trees – not restricted to binary trees – of size n than there are binary trees of size n. If you worked it out, the answer might have surprised you; it is certainly not immediately obvious. First off, a common response I get to this question is immediately "well, since binary trees are a special case of arbitrary trees, there must be more arbit ...

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